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nydimaria [60]
3 years ago
5

Set up the appropriate trigonometric ratio to determine the value of the safety angle.

Mathematics
1 answer:
raketka [301]3 years ago
5 0

Step-by-step explanation:

sin/cos=tan theta.It is the value of the safety angle

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87,521 rounded to the nearest hundred
givi [52]

Answer:

87,500

Step-by-step explanation:

Since the last 2 digits arent 5 or greater than 5 it can not be rounded to the next hundred.

3 0
3 years ago
Read 2 more answers
Shanice invests $5,887 in a retirement account with a fixed annual interest rate of 4% compounded 12 times per year. How long wi
qwelly [4]

Answer:

It takes 14 years for the account balance to reach $10,296.62

Step-by-step explanation:

Given:

Principal amount =   $5,887

Rate of interest =  4%  and 12 times per year

Balance amount = $10296.62

To find:

The time to reach  $10,296.62 = ?

Solution:

We know that

N(t) = N_0e^{rt}

Here,

N(t) =  10,296.62

N_0=   $5,887

r = 4 % = 0.04

we have to find the t value

On substituting the given values

10,296.62 = 5,887e^{0.04t}

Taking ln to remove e we get

lnln(10,296.62) = ln(5887)({0.04t)

ln(\frac{10296.62}{5887})  = 0.04t

ln(1.749) = 0.04t

t = \frac{ln(1.749)}{0.04}

t =\frac{ 0.5590}{0.04}

t = 13.97

t = 14

4 0
3 years ago
Solve for t in the following equation.<br> 10 + 4–2 = 2–2( + 4)<br> A. =−1 B. =−35<br> C. =35
Sonja [21]

Answer:

the answer would be 35...

Step-by-step explanation:

Dont know how to explain it on here

3 0
3 years ago
A stick of butter in the shape of a rectangular prism has a length of 8 inches, a width of 3 inches, and a height of 3 inches. W
SVEN [57.7K]

Answer:

72in^3

Step-by-step explanation:

the information we know about the shape of the stick of butter:  

length = 8in

width = 3in

height=3in

The formula for the volume of a rectangular prism is:

volume=length*width*height

we find the volume by multiplying ll the measurements of the stick.

So we substitute the values to find the volume and we get the following:

volume=8in*3in*3in\\volume=72in^3

the volume of the stick of butter is 72in^3

5 0
3 years ago
ASAP GUYS PLEASE I NEED UR HELP THIS IS SO HARD<br> Solve: 5 − 7 ( z + 1 ) = 7 ( − 9 − 3 z )
pantera1 [17]

Answer:

-\frac{61}{14}

Step-by-step explanation:

Question: 5 - 7(z+1) = 7(-9-3z)

We multiply the number in front of the bracket first, since that is multiplication.

--> 5 -7z -7 = -63 - 21z

--> -7z -2 = -63 - 21z

Now, we move all the z and all the numbers to each side.

--> -7z +21z = -63 +2

--> 14z = -61

--> z = -61/14

This cannot be simplified further, so z is -61/14.

6 0
2 years ago
Read 2 more answers
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